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Simplifying 6(3w + 4) = 2(w + -5) Reorder the terms: 6(4 + 3w) = 2(w + -5) (4 * 6 + 3w * 6) = 2(w + -5) (24 + 18w) = 2(w + -5) Reorder the terms: 24 + 18w = 2(-5 + w) 24 + 18w = (-5 * 2 + w * 2) 24 + 18w = (-10 + 2w) Solving 24 + 18w = -10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 24 + 18w + -2w = -10 + 2w + -2w Combine like terms: 18w + -2w = 16w 24 + 16w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + 16w = -10 + 0 24 + 16w = -10 Add '-24' to each side of the equation. 24 + -24 + 16w = -10 + -24 Combine like terms: 24 + -24 = 0 0 + 16w = -10 + -24 16w = -10 + -24 Combine like terms: -10 + -24 = -34 16w = -34 Divide each side by '16'. w = -2.125 Simplifying w = -2.125
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